Molla Basir Ahamed, Vasudevarao Allu, Himadri Halder
2020.11.27Annales Fennici Mathematici
tlooto Summary
This paper investigates the Bohr phenomenon for analytic functions on shifted disks and obtains sharp results.
Abstract
In this paper, we investigate the Bohr phenomenon for the class of analytic functions defined on the simply connected domain \(\Omega_{\gamma}=\bigg\{z\in\mathbb{C} \colon \bigg|z+\frac{\gamma}{1-\gamma}\bigg|<\frac{1}{1-\gamma}\bigg\}\) for \(0\leq \gamma<1.\) We study improved Bohr radius, Bohr-Rogosinski radius and refined Bohr radius for the class of analytic functions defined in \(\Omega_{\gamma}\), and obtain several sharp results.
Citation format
AHAMED, Molla Basir; ALLU, Vasudevarao; HALDER, Himadri. The bohr phenomenon for analytic functions on simply connected domains [preprint]. arXiv, 2020. arXiv:2011.13890.